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Finding the Fourth Proportional to 2,141.64, 2,953.80 and 1,809.54

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Solution

The fourth proportional to 2,141.64, 2,953.80 and 1,809.54 is: 2,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.64 : 2,953.80 = 1,809.54 : x
  2. Step 2: Convert to fraction form
    2,141.64/2,953.80 = 1,809.54/x
  3. Step 3: Cross multiply
    2,141.64x = 2,953.80 × 1,809.54
  4. Step 4: Simplify right side
    2,141.64x = 5,345,019.25
  5. Step 5: Solve for x
    x = 5,345,019.25/2,141.64
  6. Step 6: Final answer
    x = 2,495.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.